Question
In: Statistics and Probability
A statistical program is recommended. ONE-SAMPLE T TEST : The following observations are on stopping distance...
A statistical program is recommended.
ONE-SAMPLE T TEST :
The following observations are on stopping distance (ft) of a particular truck at 20 mph under specified experimental conditions.
| 32.1 | 30.5 | 31.6 | 30.4 | 31.0 | 31.9 |
The report states that under these conditions, the maximum allowable stopping distance is 30. A normal probability plot validates the assumption that stopping distance is normally distributed.
a) Determine the probability of a type II error when α = 0.01,σ = 0.65, and the actual value of μ is 31 (use statistical software or Table A.17). (Round your answer to three decimal places.)
b) Repeat this for μ = 32. (Round your answer to three decimal places.)
c) What is the smallest sample size necessary to have α = 0.01 and β = 0.10 when μ = 31 and σ = 0.65? (Round your answer to the nearest whole number.)
Solutions
orchestra answered 1 year agoRelated Solutions
This semester we have discussed the following statistical analyses. Z-test One-Sample t-test
This semester we have discussed the following statistical
analyses.
Z-test
One-Sample
t-test
Independent Groups
t-test
Repeated Measures t-test
One-Way ANOVA
Regression
Correlation
1. Research shows that people who do well on the SAT tend to do
well in college (they have a higher GPA). Likewise, students who do
not do well on the SAT struggle in college (they have a lower GPA).
This information is used by college admissions officials to
determine if a student should...
In a test of braking performance, a tire manufacturer measured the stopping distance for one of...
In a test of braking performance, a tire manufacturer measured
the stopping distance for one of its tire models. On a test track,
10 different cars made stops from a speed of 100 km per hour. The
company recorded the stopping distance for each car on both wet and
dry pavement. Results are shown in the table. Complete parts a)
and b).
Car # Dry Wet
1 48 64
2 44 66
3 41 58
4 40 52
5 42 ...
In a test of braking performance, a tire manufacturer measured the stopping distance for one of...
In a test of braking performance, a tire manufacturer measured
the stopping distance for one of its tire models. On a test track,
a car made repeated stops from 60 miles per hour. The test was run
on both dry and wet pavement, with results as shown below.
Wet Dry
210 154
191 153
214 143
200 137
202 130
196 146
198 132
179 144
194 142
217 127
a) Construct a 95% confidence interval for the mean dry...
A statistical program is recommended. A sample containing years to maturity and yield (%) for 40...
A statistical program is recommended.
A sample containing years to maturity and yield (%) for 40
corporate bonds is contained in the data file named
CorporateBonds.
Company Ticker
Years
Yield
GE
1
0.767
MS
1
1.816
WFC
1.25
0.797
TOTAL
1.75
1.378
TOTAL
3.25
1.748
GS
3.75
3.558
MS
4
4.413
JPM
4.25
2.31
C
4.75
3.332
RABOBK
4.75
2.805
TOTAL
5
2.069
MS
5
4.739
AXP
5
2.181
MTNA
5
4.366
BAC
5
3.699
VOD
5
1.855
SHBASS
5...
The one-sample z-test and the one-sample t-test both test if a sample mean is representative of...
The one-sample z-test and the one-sample t-test both test if a
sample mean is representative of a population. What is the
difference between these two tests?
A statistical program is recommended. Consider the following data for a dependent variable y and two...
A statistical program is recommended.
Consider the following data for a dependent variable y
and two independent variables,
x1
and
x2.
x1
x2
y
30
12
94
47
10
108
25
17
112
51
16
178
40
5
94
51
19
175
74
7
170
36
12
117
59
13
142
76
16
211
(a)
Develop an estimated regression equation relating y
to
x1.
(Round your numerical values to one decimal place.)ŷ =
Predict y if
x1 = 43.
(Round...
Consider the following statistical methods (i) two-independent sample t-test (ii) paired t-test (iii) chi-square goodness-of-fit test...
Consider the following statistical methods
(i) two-independent sample t-test (ii) paired t-test
(iii) chi-square goodness-of-fit test (iv) chi-square test of
independence (v) t-test of a regression coefficient
(vi) F−test for multiple regression (vii) one-way ANOVA
(viii) two-way ANOVA
Compare and contrast three of the methods (your choice). Some
questions to address: what type of data is used for each method?
How are the methods similar? How are they different? Are there
circumstances in which multiple methods can be used to...
A statistical program is recommended. Suppose that the magnitude of earthquakes recorded in a region of...
A statistical program is recommended.
Suppose that the magnitude of earthquakes recorded in a region
of North America can be modeled as having a gamma distribution with
α = 0.8 and β = 2.6.
(b) What is the probability that the magnitude of an earthquake
striking the region will exceed 5 on the Richter scale? (Round your
answer to four decimal places.)
(c) Using an exponential distribution with mean 2.6 to model the
magnitude of an earthquake striking the region,...
A statistical program is recommended. Consider the following data for two variables, x and y. x...
A statistical program is recommended.
Consider the following data for two variables, x and
y.
x
22
24
26
30
35
40
y
12
20
33
35
40
36
(a) Develop an estimated regression equation for the data of the
form
ŷ = b0 +
b1x. (Round
b0 to one decimal place and
b1 to three decimal places.
ŷ =
(b) Use the results from part (a) to test for a significant
relationship between x and y. Use α =
0.05....
A statistical program is recommended. Consider the following data for two variables, x and y. x...
A statistical program is recommended.
Consider the following data for two variables, x and
y.
x
9
32
18
15
26
y
11
20
22
17
22
(a) Develop an estimated regression equation for the data of the
form ŷ = b0 +
b1x. (Round
b0 to two decimal places and
b1 to three decimal places.)
ŷ =
Comment on the adequacy of this equation for predicting
y. (Use α = 0.05.)
The high p-value and low coefficient of determination...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- An investor is considering purchasing a Treasury bond with a 20 year maturity, an 8% coupon...
- Write a program that copies the contents of one file to a destination file. This program...
- how to conduct a marketing mix for 3d crest white strips
- Is big data analytics used for service innovation at Amazon? If so, please write a brief...
- A shrink-fit process has been used to enhance the pressure carrying capacity of a cylinder. During...
- Ten-year zero coupon bonds issued by the U.S. Treasury have a face value of $1,000 and...
- The Blossom Department of Transportation has issued 25-year bonds that make semiannual coupon payments at a...
ADVERTISEMENT